AbstractLet MPT(v,λ) denote a maximum packing of triples of order v with index λ and TS(u,λ) denote a triple system of order u with index λ. For λ>1 and v⩾6, it is proved in this paper that the necessary and sufficient conditions for the embedding of an MPT(v,λ) in a TS(u,λ) are λ(u−1)≡0(mod2), λu(u−1)≡0(mod6) and u⩾2v+1
Necessary and sufficient conditions are given for the existence of a maximum packing of K with trian...
AbstractIt has been conjectured that any partial triple system of order u and index λ can be embedde...
AbstractWe determine (leaving a few cases) the spectrum of support sizes for a maximum packing of tr...
AbstractLet MPT(v,λ) denote a maximum packing of triples of order v with index λ and TS(u,λ) denote ...
AbstractLet MPT (v, λ) denote a maximum packing of triples of order v and index λ. An MPT (v, λ) is ...
AbstractWe determine (leaving a few cases) the spectrum of support sizes for a maximum packing of tr...
AbstractA partial triple system of order v, PT(v), is pair (V, B) where V is a v-set, and B is a col...
AbstractIn this paper we complete the work begun by Mendelsohn and Rosa and by Hartman, finding nece...
AbstractA triple system of order v+w and index λ embeds a P3-design on v points if there is a subset...
AbstractLet ARB(3,λ;v) denote an almost resolvable λ-fold system of order v. In this paper, we discu...
AbstractAny partial Steiner triple system of order u can be embedded in a Steiner triple system of o...
AbstractWe show that if 4 divides λ, then any partial triple system of order r and index λ can be em...
In this paper we complete the work begun by Mendelsohn and Rosa and by Hartman, finding necessary an...
AbstractA partial triple system of order v, PT(v), is pair (V, B) where V is a v-set, and B is a col...
AbstractIn 1976, Lindner and Rosa (Ars Combin. 1 (1976), 159–166) showed that a partial triple syste...
Necessary and sufficient conditions are given for the existence of a maximum packing of K with trian...
AbstractIt has been conjectured that any partial triple system of order u and index λ can be embedde...
AbstractWe determine (leaving a few cases) the spectrum of support sizes for a maximum packing of tr...
AbstractLet MPT(v,λ) denote a maximum packing of triples of order v with index λ and TS(u,λ) denote ...
AbstractLet MPT (v, λ) denote a maximum packing of triples of order v and index λ. An MPT (v, λ) is ...
AbstractWe determine (leaving a few cases) the spectrum of support sizes for a maximum packing of tr...
AbstractA partial triple system of order v, PT(v), is pair (V, B) where V is a v-set, and B is a col...
AbstractIn this paper we complete the work begun by Mendelsohn and Rosa and by Hartman, finding nece...
AbstractA triple system of order v+w and index λ embeds a P3-design on v points if there is a subset...
AbstractLet ARB(3,λ;v) denote an almost resolvable λ-fold system of order v. In this paper, we discu...
AbstractAny partial Steiner triple system of order u can be embedded in a Steiner triple system of o...
AbstractWe show that if 4 divides λ, then any partial triple system of order r and index λ can be em...
In this paper we complete the work begun by Mendelsohn and Rosa and by Hartman, finding necessary an...
AbstractA partial triple system of order v, PT(v), is pair (V, B) where V is a v-set, and B is a col...
AbstractIn 1976, Lindner and Rosa (Ars Combin. 1 (1976), 159–166) showed that a partial triple syste...
Necessary and sufficient conditions are given for the existence of a maximum packing of K with trian...
AbstractIt has been conjectured that any partial triple system of order u and index λ can be embedde...
AbstractWe determine (leaving a few cases) the spectrum of support sizes for a maximum packing of tr...
DOI
Add to ORKG